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Consider the polynomial P (x) = 6x3 - 19x2 - x + 24. (i) Find the value of P (-1) (ii) Based on (i) above,

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Consider the polynomial P (x) = 6x3 - 19x2 - x + 24. (i) Find the value of P (-1) (ii) Based on (i) above, find a linear factor of P (a ). (iii) Use long division to find a quadratic factor of P (a) and then factorise P (a ) completely. (iv) Find all roots of P (a ) and the end behaviour of P (a). (v) Draw the sign table and then sketch the graph of P (ac)

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